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Finding the Third Proportional to 189,636 and 409,158

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Solution

The third proportional to 189,636 and 409,158 is: 882,797.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,636 : 409,158 = 409,158 : x
  2. Step 2: Convert to fraction form
    189,636/409,158 = 409,158/x
  3. Step 3: Cross multiply
    189,636x = 409,158 × 409,158
  4. Step 4: Simplify right side
    189,636x = 167,410,268,964
  5. Step 5: Solve for x
    x = 167,410,268,964/189,636
  6. Step 6: Final answer
    x = 882,797.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.